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Finding the Fourth Proportional to 3,416.90, 4,718.16 and 2,301.53

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Solution

The fourth proportional to 3,416.90, 4,718.16 and 2,301.53 is: 3,178.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.90 : 4,718.16 = 2,301.53 : x
  2. Step 2: Convert to fraction form
    3,416.90/4,718.16 = 2,301.53/x
  3. Step 3: Cross multiply
    3,416.90x = 4,718.16 × 2,301.53
  4. Step 4: Simplify right side
    3,416.90x = 10,858,963.19
  5. Step 5: Solve for x
    x = 10,858,963.19/3,416.90
  6. Step 6: Final answer
    x = 3,178.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.